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[cgal-discuss] Grid-based Hexahedral Mesh

From: Riccardo Mantini <>
To: "" <>
Subject: [cgal-discuss] Grid-based Hexahedral Mesh
Date: Sun, 11 Oct 2020 09:07:18 +0000
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Dear all,

I am trying to generate a rudimental full hexahedral mesh using the grid-based approach, CGAL library, in particular the linear cell complex class. To do this, I have followed the following steps:

0. Imported the object to mesh (figure1);

1. Created a structured grid over the object to mesh (figure2);

2. Removed the hexahedrons outside of the object boundary and the hexahedrons which intersect the boundary. Therefore I have found the initial mesh (figure3);

3. Selected only the hexahedrons more external of the initial mesh. For each of these hexahedrons, I have found the normal of each external vertex and the intersection between the normal and the object boundary. Then I have set the geometric point of the initial mesh on the intersection point found.

4. Drawn the linear cell complex (lcc) (figure4)

When I draw the lcc, I see many errors (figure4). It seems I moved points not in the right place. Can please anyone help me to find out where I am wrong?

I attached figures and part of the code, if more code or details are needed please ask.

Thank you all.

Best regards,

Riccardo

Attachment: figure4.jpg
Description: figure4.jpg

Attachment: figure3.jpg
Description: figure3.jpg

Attachment: figure2.jpg
Description: figure2.jpg

Attachment: figure1.jpg
Description: figure1.jpg

Attachment: code.pdf
Description: code.pdf

[cgal-discuss] Grid-based Hexahedral Mesh, Riccardo Mantini, 10/11/2020
- Re: [cgal-discuss] Grid-based Hexahedral Mesh, Sebastien Loriot (GeometryFactory), 10/12/2020

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[cgal-discuss] Grid-based Hexahedral Mesh